Global existence and uniqueness for the Lake equations with vanishing topography : elliptic estimates for degenerate equations
Langue
en
Article de revue
Ce document a été publié dans
Nonlinearity. 2006-01, vol. 19, n° 3, p. 591-610
IOP Publishing
Résumé en anglais
This paper deals with global existence and uniqueness for the lake equations with a bottom topography vanishing on the shore. Our result generalizes previous studies that assumed the depth to be nondegenerate. Elliptic ...Lire la suite >
Mots clés en anglais
weighted Sobolev spaces
degenerate elliptic equation
Regularity result
Youdovitch's method
vorticity-Stream function formulation
Youdovitch's method.